Created
June 2, 2015 17:31
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Fern and Star
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import copy | |
from python.common.point import Point | |
from python.common.svg import Svg | |
from python.less9.transformations import * | |
def common(size, iterations, transformations, probabilities, name="picture"): | |
points = [] | |
current = Point(0, 0) | |
points.append(current) | |
for iteration in range(iterations): | |
index = np.random.choice(4, 1, p=probabilities)[0] | |
transformation = transformations[index] | |
copy_p = copy.deepcopy(current) | |
copy_p.apply_transformation(transformation) | |
current = copy_p | |
if iteration > 200: | |
points.append(copy_p) | |
svg = Svg() | |
list(map(lambda y: y.draw_to_svg(svg), map(lambda x: x.apply_transformation(scaling(size, size)), points))) | |
svg.save("output/" + name) | |
def star(size, iterations=1000): | |
transformations = [np.matrix([[0.255, 0.0, 0.3726], | |
[0.0, 0.255, 0.6714], | |
[0, 0, 1]]), | |
np.matrix([[0.255, 0.0, 0.1146], | |
[0.0, 0.255, 0.2232], | |
[0, 0, 1]]), | |
np.matrix([[0.255, 0.0, 0.6306], | |
[0.0, 0.255, 0.2232], | |
[0, 0, 1]]), | |
np.matrix([[0.370, -0.642, 0.6356], | |
[0.642, 0.370, -0.0061], | |
[0, 0, 1]])] | |
probabilities = [0.07, 0.30, 0.33, 0.30] | |
common(size, iterations, transformations, probabilities, "star") | |
def fern(size, iterations): | |
transformations = [np.matrix([[0.849, 0.037, 0.075], | |
[-0.037, 0.849, 0.183], | |
[0, 0, 1]]), | |
np.matrix([[0.197, -0.226, 0.4], | |
[0.226, 0.197, 0.049], | |
[0, 0, 1]]), | |
np.matrix([[-0.15, 0.283, 0.575], | |
[0.26, 0.237, 0.084], | |
[0, 0, 1]]), | |
np.matrix([[0, 0, 0.5], | |
[0, 0.16, 0], | |
[0, 0, 1]])] | |
probabilities = [0.85, 0.07, 0.07, 0.01] | |
common(size, iterations, transformations, probabilities, "fern") | |
fern(500, 10000) | |
star(1500, 100000) |
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